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Finding the Fourth Proportional to 986.51, 1,479.90 and 473.51

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Solution

The fourth proportional to 986.51, 1,479.90 and 473.51 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.51 : 1,479.90 = 473.51 : x
  2. Step 2: Convert to fraction form
    986.51/1,479.90 = 473.51/x
  3. Step 3: Cross multiply
    986.51x = 1,479.90 × 473.51
  4. Step 4: Simplify right side
    986.51x = 700,747.45
  5. Step 5: Solve for x
    x = 700,747.45/986.51
  6. Step 6: Final answer
    x = 710.33

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.